Math Lessons
Numbers: Reading & Writing Numbers
Grade 5 Outcome A1: represent and describe whole numbers to 1 000 000
updated
September 13, 2012
Performance Standards/Learning Intention/Big Idea /Vocabulary/Lessons /Support
Performance Standard focus (Fully Meeting)
Concepts & Applications /Patterns & Relationships: I can recognize simple patterns and relationships
Learning Intentions: I will read, represent and describe whole numbers to 1 000 000 in a variety of ways.
Task:
Criteria: to complete practice questions correctly
Big Idea: real-life connection
Vocabulary (word document for printing)
standard form: 36
place value: three tens, six ones
number words: thirty-six
expanded notation or expanded form: 30 + 6
whole numbers: 0, 1, 2, 3, 4 ... beginning at zero, counting number without an end ones,ten, hundred, thousand, million
Model: visualizing the concept (also Riverdeep, NLVM, Shodor, Jenny Eather, Cut the Knot)
Let’s review place value first: Read the following numbers. (see poster for more practice)
* first names are all the same (hundreds, tens, ones), last or family names change (ones, thousands, millions)
WarmUp: connecting to prior knowlege
IXL (http://www.ixl.com/math/practice/grade-5-compare-numbers-up-to-billions)
Lesson # 1 Place Value
Lesson # 2 Number Words
Lesson # 3 Expanded Form (or Expanded Notation)
Lesson # 4 Ordering Numbers
Lesson # 5 Review
Lesson # 6 Place Value, a new look
Warm-Up: (http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/bead/index.htm)
** you need a pencil and paper (your scrap book)
Concrete Practice: reading and writing numbers
Using Visual Manipulatives: concrete exploration
National Library of Visual Manipulatives
Moving towards the Abstract: ** begin with more watch/listen/try and move into independent practice
* our number system follows a cyclical pattern, H T O
** remember the place value family names (e.g. millions, thousands, ones) and each 'family' contains three 'members' (HTO)
i) read the following numbers
a) 6 2 4 (six hundred twenty-four)
H T O
this space is called “thousand”
b) 6 2 4 0 0 0 (six hundred twenty-four thousand)
H T O H T O
c) 624 0 0 0 0 0 0 (six hundred twenty-four million)
H T O H TO H T O
* remember: read the group of numbers prior to a space as if it were a group of HTO
- 524
- 3 756
- 65 800
- 23 712
- 321 800
- 420 712
- 3 867 200
- 13 450 000
- 143 700 000
ii) Naming the specific place value for 7 digit numbers (millions). http://www.aaaknow.com/plc41ax2.htm ……….you need to visualize the spaces (watch & listen, move into trying some independently)
iv) Comparing 7 digit number (millions) http://www.321know.com/g8_41bx1.htm (watch & listen, move into trying some independently)
(more practice questions: when ready, peel off to complete the assignment sheet.....page set-up, Math Page Setup Checklist)
What is the number 4 768 2 719 62 125
a) how many 10sb) how many 1s
c) how many 100s
d) how many 1 000s
c) 1 000 more
d) 300 less
e) 10 000 more
f) 2 000 less
What does each digit mean? Remember, we are not reading the numbers.
- 4 675 e.g. means 4 thousands, 6 hundreds, 7 tens, 5 ones
- 23 987 How many thousands? How many ten thousands?
- 503 982 How many hundred thousands?
- 7 000 000 How many one million?
Word Problems
Bob is trying to figure out the number Sally has written down. She tells him that there are five tens, eight thousands, four hundreds, and two ones. What is the number?
Online Practice (Place Value)
Lesson #1 Assignments (worksheet or Math Makes Sense)
Grade 5: lesson 1 worksheet
Warm-up (http://www.ictgames.com/arrowcards.html)
Review: we write numbers in many forms
standard form: 36
place values: three tens, six ones
number words: thirty-six
expanded notation or expanded form: 30 + 6
Use the handout (Number Words) when writing number words until your spelling is accurate.
Rules:
Class Practice (place value chart: open in a new window)
Use the following website to practice writing the standard form and number words.
a) practice going from the number words to standard form http://www.aaaknow.com/nam14ax2.htm
b) practice going from the standard form to number words
http://www.aaaknow.com/nam14bx2.htm
fifty-six = _________________________
nine hundred eighty-two = _________________________
four thousand twenty-two = _________________________
three hundred thousand seven = _________________________
one million fifty thousand two hundred six = _________________________
48 = __________________________________________________________
3 970 = __________________________________________________________
502 712 = __________________________________________________________
1 845 200 = _______________________________________________________
Online Practice Number Words
Lesson #2 Assignments (worksheet or Math Makes Sense)
Grade 5: lesson 2 worksheet
Lesson #3 Expanded Notation or Expanded Form
Warm-up (http://www.ictgames.com/arrowcards.html)
Review: we write numbers in many forms
standard form: 36 5 293 43 759 1 647 345 2 500 000
place values: three tens, six ones
number words: thirty-six
expanded notation or expanded form: 30 + 6
* expanded means to stretched out
Model 549 = 5 00 + 40 + 9
To write a number in expanded form, we write the value of the digits (place value) with an add (+) sign. Let’s review Place Value first: http://www.321know.com/plc12ex2.htm#section1
Manipulatives use Power of Ten cards to show
Class Practice
Concrete: (use Power of Ten expanded notation form cards to illustrate)
Abstract: Using the following website, we will predict and check the expanded notation for a variety of numbers.
http://www.amathsdictionaryforkids.com/dictionary.html
Online Practice: Expanded Notation
Lesson #3 Assignments (worksheet or Math Makes Sense)
Grade 5: lesson 3 worksheet
Warm-up: (http://www.321know.com/cmp22cx2.htm)
view http://schoolwaxtv.com/node/164
Practice: Now, examining the value of a digit based on its location, decide which number is larger. We will use < > symbols to show the relationship between the number pairs:
- 696 689
- 4 243 4 713
- 421 035 406 583
- 35 397 35 739
- 686 6 689
Practice:
With your seating partner, write the following series of numbers in order from greatest to least: discuss the strategy you useda) 686, 696, 689 ___________________________________________________________
b) 4 756, 4 243, 4 713 _______________________________________________________
c) 421 035, 406 583, 423 004, 40 795 ___________________________________________
d) 35 937, 35 397, 35 739 ___________________________________________________
Online Practice: Ordering Numbers
Lesson #4 Assignments (worksheet or Math Makes Sense)
Grade 5: lesson 4 worksheet
Online Practice: choose alternate lessons and multiple practice sites
Self-Assessment of Learning: alternate lessons and multiple practice sites
Rating
Not at all
A bit
Quite well
Very well
Extremely well
I understand this concept….
I will now
- ___ seek out reteaching (Help Please, online lesson)
- ___ plan for extra practice (Independent Block) or
- ___ move on
Lesson #5 Review, with a little be extra
Review: we write numbers in many forms
standard form: 36.2
place values: three tens, six ones, two tenths
number words: thirty-six and two tenths
expanded notation or expanded form: 30 + 6 + 0.2review:
Place Value: adding in a decimal spot
(family)thousands
(family)ones
(family)
tenths
(family)Hundred Millions
Ten
MillionsOne Millions
Hundred Thousands
Ten Thousands
One Thousands
Hundreds
Tens
Ones
tenths
5
9
3
4
5
4
6
3
2
6
1
5
0
5
0
9
4
9
9
4
9
9
0
5
7
4
* read the following numbers
Standard Form
- 3 756.4 (three thousand seven hundred fifty-six and four tenths)
- 65 800.7
- 321 800.6
- 3 867 200.1
- 13 450 000.9
Number words: together, let’s write the number words for the numbers above.
3 756.4 three thousand seven hundred fifty-six and four tenths
65 800.7 sixty-five thousand eight hundred and seven tenths
321 800.6 three hundred twenty-one eight hundred and one tenth
3 867 200.1 three million eight hundred sixty-seven thousand two hundred and one tenth
13 450 000.9 thirteen million four hundred fifty thousand and nine tenths
Expanded Form (Notation): we do this the same way as before only with decimal added.
4 tenths is written as 0.4 (you need the zero because it tells us a decimal comes next) so,
300.4 = 300 + 0.4240.7 = 200 + 40 + 0.7 Again, ignore the decimal until you get to it.
3 450.8 =
2 300 002.5 =
6 520 300.6 =
Ordering Numbers:
0.1 is the smallest tenths, it almost does not exist
while 0.9 is the largest, it is almost 1 whole
Grade 5: lesson 5 worksheet
Lesson #6 Place Value, a new look
Review: we write numbers in many forms
standard form: 36 5 293 43 759 1 647 345 2 500 000
place values: three tens, six ones
number words: thirty-six
expanded notation or expanded form: 30 + 6review:
On scrap paper (drawing book), practice writing numbers in the above forms.
Grade 6: lesson 6 worksheet
Text Support: e.g. my own lessons, Riverdeep, Math Makes Sense
